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The nonperturbative functional renormalization group and its applications
The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …
conceptually and as a practical tool to determine the long-distance low-energy properties of …
An asymptotically safe guide to quantum gravity and matter
A Eichhorn - Frontiers in Astronomy and Space Sciences, 2019 - frontiersin.org
Asymptotic safety generalizes asymptotic freedom and could contribute to understanding
physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet …
physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet …
Solving the 3d Ising Model with the Conformal Bootstrap II. -Minimization and Precise Critical Exponents
We use the conformal bootstrap to perform a precision study of the operator spectrum of the
critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central …
critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central …
Asymptotic safety guaranteed
A bstract We study the ultraviolet behaviour of four-dimensional quantum field theories
involving non-abelian gauge fields, fermions and scalars in the Veneziano limit. In a regime …
involving non-abelian gauge fields, fermions and scalars in the Veneziano limit. In a regime …
Fermion interactions and universal behavior in strongly interacting theories
J Braun - Journal of Physics G: Nuclear and Particle Physics, 2012 - iopscience.iop.org
The theory of the strong interaction, quantum chromodynamics (QCD), describes the
generation of hadronic masses and the state of hadronic matter during the early stages of …
generation of hadronic masses and the state of hadronic matter during the early stages of …
Further evidence for asymptotic safety of quantum gravity
The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using
the renormalization group, we find evidence for an interacting UV fixed point for polynomial …
the renormalization group, we find evidence for an interacting UV fixed point for polynomial …
Asymptotic safety of quantum gravity beyond Ricci scalars
K Falls, CR King, DF Litim, K Nikolakopoulos… - Physical Review D, 2018 - APS
We investigate the asymptotic safety conjecture for quantum gravity including curvature
invariants beyond Ricci scalars. Our strategy is put to work for families of gravitational …
invariants beyond Ricci scalars. Our strategy is put to work for families of gravitational …
Aspects of asymptotic safety for quantum gravity
KG Falls, DF Litim, J Schröder - Physical Review D, 2019 - APS
We study fixed points of quantum gravity with renormalization group methods and a
procedure to remove convergence-limiting poles from the flow. The setup is tested within the …
procedure to remove convergence-limiting poles from the flow. The setup is tested within the …
Renormalization group and the Planck scale
DF Litim - … Transactions of the Royal Society A …, 2011 - royalsocietypublishing.org
Renormalization group and the Planck scale | Philosophical Transactions of the Royal Society
A: Mathematical, Physical and Engineering Sciences logo logo Skip main navigationJournal …
A: Mathematical, Physical and Engineering Sciences logo logo Skip main navigationJournal …
Search of scaling solutions in scalar–tensor gravity
We write new functional renormalization group equations for a scalar nonminimally coupled
to gravity. Thanks to the choice of the parametrization and of the gauge fixing they are …
to gravity. Thanks to the choice of the parametrization and of the gauge fixing they are …